| Title | Existence of minimizers for non-level convex supremal functionals |
| Publication Type | Unpublished |
| Year of Publication | 2013 |
| Authors | Ribeiro AM, Zappale E |
| Series Title | Preprint |
| Keywords | convexity., differential inclusions, Supremal functionals |
| Abstract | The paper is devoted to determine necessary and sufficient conditions for existence of solutions to the problem inf{ess sup (x in Omega) f(nabla u(x)) : u in u0 +W0;1,infty (Omega)}, when the supremand f is not necessarily level convex. These conditions are obtained through a comparison with the related level convex problem and are written in terms of a differential inclusion involving the boundary datum. Several conditions of convexity for the supremand f are also investigated. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2013/8_13.pdf |